Answer:
6 cases
Step-by-step explanation:
Kendra wants a total of 160 water bottles
She already has 16 water bottles. So you can subtract 16 from 160 or
160-16 = 144
Then since there are 24 water bottles in a case, you need to divide 144 by 24 or 144÷24 = 6
Answer:
Step-by-step explanation:
|4x-3|=5√(x+4) ⇔ |4x-3|²=5²(√(x+4))² and x+4 ≥ 0
⇔ (4x-3)² = 25(x+4) and x+4 ≥ 0 ( because : /a/² = a²)
⇔16x²-24x+9 = 25x +100 and x+4 ≥ 0
⇔ 16x² -49x - 91 =0 and x+4 ≥ 0 quadratic equation
Δ = (-49)²-4(16)(-91) = 8225
two solution : X1 = (49-√8225)/32 ≅ - 1.3 accept (-1.3+4 ≥ 0)
X2 = (49+√8225)/32 ≅4.37 accept (4.37+4 ≥ 0)
Answer:
2 x + y - 3 = 0
2 g + 6 x - 14 = 0 2 g = -2 (3 x - 7)
x = 7/3 - g/3
Step-by-step explanation:
Solve for x:
2 g = 14 - 6 x
2 g = 14 - 6 x is equivalent to 14 - 6 x = 2 g:
14 - 6 x = 2 g
Subtract 14 from both sides:
-6 x = 2 g - 14
Divide both sides by -6:
Answer: |
| x = 7/3 - g/3
The equation is that of a parabola, meaning that the maximum (or sometimes minimum) is 1/2 the sum of the solutions found using the quadratic equation.
y = 0 for the 2 solutions to {-b +/- sqrt[b2 - 4ac]} / 2a, where a = -3, b = 152 and c = -1150 from the equation for y. Plug a, b and c into the quadratic formula to get x = 9.2571 and x = 41.4095 as the 2 solutions.
9.2571 + 41.4095 = 50.6666... and the midpoint is 25.3333...
When x = 25.3333..., y = 775.33333.....
To the nearest cent, x=25.33 results in a profit of 775.33.
When x=25.25, Y = 775.31
When x=25.4, Y = 775.32
These are both less than 775.33 when x = 25.33.
Answer:
x=y/m - b/m
Step-by-step explanation:
Isolate the variable by dividing each side by factors that don't contain the variable.
